{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "class Polya_sheme:\n",
    "    def __init__(self, blue, red):\n",
    "        self.blue = blue # number of trials\n",
    "        self.red = red # probability of success\n",
    "        self.p = self.red / (self.red + self.blue) # probability of success\n",
    "\n",
    "    def choose(self):\n",
    "        if np.random.random() < self.p:\n",
    "            self.red += 1 # red wins   \n",
    "        else:\n",
    "            self.blue += 1 # blue wins\n",
    "        self.p = self.red / (self.red + self.blue) # update probability of success\n",
    "        return self.p\n",
    "            \n",
    "\n",
    "    def run(self, N):\n",
    "        return [self.choose() for _ in range(N)]\n",
    "        \n",
    "    def plot(self, N):\n",
    "        plt.plot(self.run(N))\n",
    "    \n",
    "for i in range(20):\n",
    "    \n",
    "    Polya_sheme(1, 1).plot(100) # blue = 100, red = 100\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "f4e85e907670104c152c8c682f7cbed26e7b3ec972bc4fb51086e49b6ea4cba4"
  },
  "kernelspec": {
   "display_name": "Python 3.8.12 64-bit (conda)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.12"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
